Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 3 - Graphing Linear Functions - 3.5 - Graphing Linear Equations in Slope-Intercept Form - Exercises - Page 143: 40

Answer

The second point is wrong. The correct second point is $(1,2)$. The correct graph is shown below.

Work Step by Step

The given equation is $\Rightarrow y+1=3x$ Subtract $1$ from each side. $\Rightarrow y+1-1=3x-1$ Simplify. $\Rightarrow y=3x-1$ The slope-intercept form is $\Rightarrow y=mx+b$ $y-$ intercept is $b=-1$. Plot the $y-$ intercept $A=(0,-1)$. The slope is $m=3$. Slope $m=\frac{rise}{run}=\frac{3}{1}$ The next point is $1$ unit right and $3$ unit up from the point $(1,2)$. Plot the point $B=(1,2)$. Draw a line through the two points. Hence the second point is wrong. The correct second point is $(1,2)$.
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